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Finding the Fourth Proportional to 3,200.63, 4,416.86 and 1,803.38

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Solution

The fourth proportional to 3,200.63, 4,416.86 and 1,803.38 is: 2,488.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.63 : 4,416.86 = 1,803.38 : x
  2. Step 2: Convert to fraction form
    3,200.63/4,416.86 = 1,803.38/x
  3. Step 3: Cross multiply
    3,200.63x = 4,416.86 × 1,803.38
  4. Step 4: Simplify right side
    3,200.63x = 7,965,259.41
  5. Step 5: Solve for x
    x = 7,965,259.41/3,200.63
  6. Step 6: Final answer
    x = 2,488.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.